Solve Sequential Division: Determining the Sign of 24÷(-8)÷12.4

Sequential Division with Sign Determination

What will be the sign of the result of the exercise?

24:8:12.4 24:-8:12.4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the result sign
00:04 Let's find the sign of each number
00:16 Positive divided by negative is always negative
00:24 Negative divided by positive is always negative
00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What will be the sign of the result of the exercise?

24:8:12.4 24:-8:12.4

2

Step-by-step solution

We will only look at whether the number is negative or positive.

In other words, the division exercise looks like this:

+::+= +:-:+=

If we solve the exercise from left to right, we will first divide plus by minus:

+:= +:-=-

Now the remaining exercise is:

:+= -:+=-

Therefore, the sign of the exercise result will be negative.

3

Final Answer

-

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division follows left-to-right order, signs multiply according to rules
  • Technique: Track signs only: +::+=:+= +:-:+ = -:+ = -
  • Check: Count negative numbers in division chain: odd count = negative result ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring order of operations in division
    Don't solve 24:8:12.4 24:-8:12.4 as 24:(8:12.4) 24:(-8:12.4) = positive result! Division operations must be performed left to right, not grouped arbitrarily. Always follow the correct sequence: first 24:(8)=3 24:(-8) = -3 , then (3):12.4= (-3):12.4 = - .

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( (+6)\cdot(+9)= \)

FAQ

Everything you need to know about this question

Why do I only need to look at the signs and not calculate the actual numbers?

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When determining just the sign of a result, you can ignore the actual values! The sign rules for division work the same whether you're dividing 24 by 8 or 2400 by 0.8 - positive divided by negative always gives negative.

How do I remember the sign rules for division?

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Same signs = positive, different signs = negative. Think of it like this:

  • Positive ÷ Positive = Positive
  • Negative ÷ Negative = Positive
  • Positive ÷ Negative = Negative
  • Negative ÷ Positive = Negative

What if there are more than two divisions in a row?

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Work left to right step by step! For 24:8:12.4 24:-8:12.4 , first solve 24:(8)= 24:(-8) = - , then ():12.4= (-):12.4 = - . Each division creates a new sign to use in the next step.

Does the decimal 12.4 affect the sign rules?

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Not at all! Decimals follow the same sign rules as whole numbers. Since 12.4 is positive, dividing by it follows the normal positive division rules. The decimal point doesn't change whether a number is positive or negative.

How can I double-check my sign answer?

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Count the negative numbers in your division chain. If you have an odd number of negatives, your result is negative. If you have an even number of negatives, your result is positive. Here: only -8 is negative (1 = odd), so result is negative!

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